30.54 Which relationship in the triangle must be true?

sin (B) = sin (A)

sin (B) = cos (90 - B)

cos (B) = sin (180 - B)

cos (B) = cos (A)

Question

Hans

Mathematics

1 September, 09:36

30.54 Which relationship in the triangle must be true?

sin (B) = sin (A)

sin (B) = cos (90 - B)

cos (B) = sin (180 - B)

cos (B) = cos (A)

+5

Answers (1)

Know the Answer?

Anaya Gould · Answer 1

Answer: Choice 2) sin (B) = cos (90-B)

Explanation:

The rule is that

sin (A) = cos (B)

if and only if A+B = 90.

Solving for A gets A = 90-B

So we end up with

sin (90-B) = cos (B)

which is the same as

cos (B) = sin (90-B)

30.54 Which relationship in the triangle must be true?sin (B) = sin (A)sin (B) = cos (90 - B)cos (B) = sin (180 - B)cos (B) = cos (A)

30.54 Which relationship in the triangle must be true?

sin (B) = sin (A)

sin (B) = cos (90 - B)

cos (B) = sin (180 - B)

cos (B) = cos (A)